Answer:
3. f(12) = -10; f(37) = -60
4. f(12) = -102; f(37) = -352
Step-by-step explanation:
3. Put the numbers in the formula and do the arithmetic:
f(12) = 12 -2(12-1) = 12 -22 = -10
f(37) = 12 -2(37-1) = 12 -72 = -60
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4. The explicit formula for an arithmetic sequence with first term a1 and common difference d is ...
an = a1 +d(n -1)
Your sequence has a first term a1=8 and a common difference d=-10.
As above, fill in the numbers and do the arithmetic.
f(12) = 8 -10(12 -1) = -102
f(37) = 8 -10(37-1) = -352
Answer: Hello sir, Kinetic energy is directly proportional to the mass of the object and to the square of its velocity: K.E. = 1/2 m v2. If the mass has units of kilograms and the velocity of meters per second, the kinetic energy has units of kilograms-meters squared per second squared.
Step-by-step explanation:
Answer:
5.75 - 5 3/4
Step-by-step explanation:
1 Cup = 0.0625 gallons
92 cups = 5.75 gallons
Answer:
Width of 6ft and length of 9ft
Step-by-step explanation:
The sandbox has a ratio of 2:3. If you plug the numbers in with the ratio, you can find the actual dimensions.
Let x be the length
Let y be the width
(Length)
2in / 3ft = 6in / (x)ft
2in / 3ft = 6in / <u><em>9ft </em></u>
(Width)
2in / 3ft = 4in / (y)ft
2in / 3ft = 4in / <em><u>6ft</u></em>
V of cone=(1/3)(pi)(h)(r^2)
V of cylinder=(pi)(h)(r^2)
1.
r=6
h=10
v=(1/3)(pi)(10)(6^2)
v=1/3pi10(36)
v=1/3pi360
v=120pi
answer is B
2.
r=d/2
d=10
10/2=5=r
V=(3.14)(5)(5^2)
V=3.14(125)
V=392.5
answer is B
3. 9.2, 3.7
V=(pi)(9.2)(3.7^2)
V=(pi)(9.2)(13.69)
V=(pi)(125.948)
input 125.948
4. v=(1/3)(pi)(12)(3^2)
V=(1/3)(pi)(12)(9)
V=(pi)(12)(3)
V=pi(36
v=36pi
v=36(3.14)
V=113.04
input 113.04
ANSERS
1.B
2.B
3. 129.948
4. 113.04
